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A106153
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Decimal expansion of arcsin(sqrt(1 - (e/Pi)^2)) (in degrees), lesser angle in right triangle with hypotenuse Pi and longer leg e.
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1
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3, 0, 0, 8, 8, 0, 5, 2, 3, 8, 0, 8, 4, 5, 1, 7, 0, 2, 5, 8, 1, 0, 3, 4, 8, 0, 6, 5, 2, 6, 8, 3, 2, 9, 9, 6, 4, 8, 1, 3, 2, 0, 7, 7, 3, 0, 2, 0, 7, 5, 0, 6, 7, 7, 6, 1, 6, 2, 4, 0, 9, 1, 1, 3, 2, 4, 9, 2, 0, 5, 9, 7, 9, 4, 4, 0, 1, 6, 6, 5, 7, 2, 8, 2, 0, 0, 2, 9, 7, 6, 9, 2, 9, 3, 7, 1, 8, 1, 8, 9
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OFFSET
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2,1
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COMMENTS
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Triangle with hypotenuse Pi, longer leg e and shorter leg close to Pi/2 (and angle close to 30 degrees). Cf. A096437: Decimal expansion of sqrt(Pi^2 - e^2).
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LINKS
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EXAMPLE
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arcsin(sqrt(1 - (e/Pi)^2))/Pi*180 = 30.08805238... degrees.
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MATHEMATICA
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RealDigits[N[ArcSin[Sqrt[Pi^2-E^2]/Pi]/Degree, 100]][[1]]
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PROG
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(PARI) asin(sqrt(Pi^2 - exp(2))/Pi)*(180/Pi) \\ G. C. Greubel, May 24 2017
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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